Excerpt from Some Integral Equations Related to Abel's Equation and the Hilbert Transform In the above equations the path of integration is a straight line segment along the real axis. The purpose of this paper is to show how a method, different from that used by Sakalyuk, can be used to solve and a generalization of it in which the path of integration is situated in an ar bitrary position in the complex plane and is a simple smooth curve which may be open or closed. About the Publisher Forgotten Books publishes hundreds ...
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Excerpt from Some Integral Equations Related to Abel's Equation and the Hilbert Transform In the above equations the path of integration is a straight line segment along the real axis. The purpose of this paper is to show how a method, different from that used by Sakalyuk, can be used to solve and a generalization of it in which the path of integration is situated in an ar bitrary position in the complex plane and is a simple smooth curve which may be open or closed. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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